Answer:
x = -2
y = 5
Step-by-step explanation:
Given two equations
1. 7x + 10y = 36
2. y = 2x + 9
Substitute 2x + 9 for y in equation 1.
We have
7x + 10y = 36
7x + 10(2x + 9) = 36
Distribute 10 into (2x + 9)
We have
7x + 10 x 2x + 10 x 9 = 36
7x + 20x + 90 = 36
27x + 90 = 36
Subtract 90 from both sides to eliminate 90 on the left side
27x + 90 - 90 = 36 - 90
27x = -54
Divide both sides by 27 to isolate x
27x/27 = -54/27
x = -2
Now substitute -2 into either equation to get y
Using equation 2, we have
y = 2x + 9
= 2 x -2 + 9
= -4 + 9
= 5
x = -2
y = 5
Check
7(-2) + 10(5) = 36
3x - 7
The perimeter is the sum of all 3 sides of the triangle
To find the third side subtract the sum of the 2 known sides from the perimeter
x + 3 + 2x + 4 = 3x + 7
third side = 6x - (3x + 7 ) = 6x - 3x - 7 = 3x - 7
Answer:
It took Peter 28 minutes and 10.82 seconds to finish the race.
Step-by-step explanation:
We have that:
: Antonio = 28 min + 11.00 s (1)
: Julio = A - 0.08 s (2)
: Pete = J - 0.1 s (3)
Then, the time at which Pete finished the race is:
(4)
By entering equations (1), (2), (3) into (4) we have:
Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.
I hope it helps you!
Answer:
1st is rational 2nd is irrational 3rd is irrational 4th is rational 5th is irrational
Step-by-step explanation:
Answer:
x = 8
x = -10
Step-by-step explanation: